Research on Temperature Stress of Large-Area Concrete Beam-Slab Structure
|
|
- Dorothy Nicholson
- 6 years ago
- Views:
Transcription
1 Reearh on Teeraure Sre of Large-rea Conree Bea-Slab Sruure L Yan-yng Deuy Profeor De. of rheure and anageen ngneerng College of Shanx Unvery Tayuan. Chna bra: Large-rea Conree bea-lab Sruure anly ean he onolhally a onree ruure whoe lengh and wdh are ore han axu of he ruure n he ode. The nfluene of eeraure hange hrnkage and ree on ruure he key o olvng he roble. Through a raal engneerng Shrnkage and ree forula aord wh e reul are brough forward. The alulaon reul of hrnkage ran eeraure ran and rereed ran onde e reul and an be dreed o roje. Keyword: large-area onree bea-lab ruure ; hrnkage ; ree ; eeraure re ;. INTRODUCTION Jnheng Mueu area ore han 2 2 wo-floor frae ruure he ba olun ne ze 8 8. The buldng ze 64 28rae of oon renforng eel.2% rae of rereed renforng eel.4%. There a o-oured r along long-an. The rereed bar Φ j 5.2 ued and onneed by lnker. 2. TST The e anly re rule and ran rule of wo-floor large-area onree by eeraure hange and onree hrnkage and ree. The eeraure re baed on he eeraure dfferene beween ndoor and oudoor and eeraure obervaon of lab. When heroeer and ollaon ran-eer are ebeded n floor we ll ge he eeraure readng and frequeny a he e on. The ba auon of alulang onree re by eel-eer: he eel-eer ran a uh a around onree ran he onree ran gven by = [ N N ]/ α [ T ] 2. T ran of hrnkage μ he onree hrnkage value of e he onree hrnkage value of heory Td Fg. The e on layou Fg.2 The e and heory value
2 Where N T are eel-eer nner fore and onree eerure a age N and T are he eel-eer nal value afer ourng and ourng eeraure eel area whle eel-eer dearae equal o 4 2 he odulu of elay of eel 2 5 N/ 2 and α he oeffen of heral exanon.2-5. The heroeer and eel-eer are eeded along wo-floor long-an. The e on hown n Fg.. There are hree knd of eaon unlgh and uddenne eeraure dfferene n he eeraure hange. The eaon anly aken no aoun n large-area onree. ordng o e readng he axu and nu of he wo-floor 32 and 5 reevely. The floor eeraure a loe a weaher afer hree day. We regard he eeraure average a he weaher whou hea of hydraon. The weaher hange orreond o one funon rule. T = T o[2nπ / 365] 2.2 λ Where T he average eeraure value n a yearand T =T ax T n /2 eeraure oe n a year and =T ax T n /2 λ e fro eeraure reaon o he fr ax eeraure. 3. BSIC PRMTRSS The f u he ube oreve rengh average value a 28 day. naely f u =45Ma. The oreve rengh forula gven by vare a age and gven by f = f28 a b a=4.2 b= = Where 28 he odulu of elay of onree a 28 day gven by 5 28 = = 3.37 N / f u Wh he an body a r een oured n worke nde eel-eer and heroeer. The ran nlude hrnkage ran and eeraure hange ran. We ge he hrnkage ran f ubra he eeraure hange ran fro he e readng. Beaue of under he ae envronen he een and an ruure are ondered he ae hrnkage rule gven by = β 3.4 o
3 Coared wh he e hrnkage value he heory forula of h roje gven by 4 28 = To large-area floor for dfferen hae beween een and ruure he forula gven by 4 28 = CRP THORY When alulang he eeraure ree eeraure dfferene and he odulu of elay a key o alulaon. The hrnkage and ree of onree aken no aoun for endurng long erod eaon eeraure dfferene. The ree ha ran vare wh e durng onnuou loadng. Cree ran bgger -3 e han ela ran. The age-adjued effeve odulu of Tro-Bazan vald ehod whh alulae ree onerned wh long-erod and u o equaon n eeraure re and hrnkage. The onree ran = 4. e r The ran durng one-way onan re gven by = J 4.2 Where o non-re ran aued by hrnkage and eeraure J alled ree oeffen whh exre he u of ela and reee er onan re a fro. 4.3 = = J C = C 4.4 Where he odulu of elay a C alled ree degree whh exre ree er re. = [ C ] [ C ] d 4.5
4 [ ] = [ χ ] 4.6 [ ] = 4.7 = [ χ ] 4.8 alled he age-adjued effeve odulu χ alled old-aged oeffen. R alled relax oeffen gven by χ = R 4.9 Cree oeffen gven by = β 4. = β β 4. f RH In he early loadng ree bgger and e nerval e le. In he laer ree le and e nerval e bgger. 5. TMPRTUR STRSSS CLCULTION The hrnkage and eeraure dfferene wll aue ran. Therefore boh eeraure hange and hrnkage nfluene on ruure ondered. Swell agen reven fro early rakng and rereng a vald eaure o reven fro rakng. Wh he age loe of rere dereae gradually. We aue ha oon eel rere eel afer enon and onree have ae ran regard he eon an drbue unforly. We alulae agnude by ung hrnkage rere aon and eeraure dfferene reevely. Se he area of floor =bh he area of oon eel he area of rere P. 5.. Shrnkage ree Shrnkage re aued by hrnkage ran whh nreae gradually. Se onree begn hrnkage a rodue hrnkage a oal ran re. By equlbru of fore [ ] K L = 5.
5 Solvng and ung Hooke law gve ] [ γ = Teeraure ree The eeraure yle. If eeraure begn aon fro age j and ubeon alulae e age o re fro o an be exreed a ].2 [ ] [ = L K T T 5.3 ] [.2 T γ = 5.4 Toal ree n = = Prere Prere udden loadng whh dereae gradually under ree. lyng rere a e afer enon effeve rere e equlbru equaon exreed ] [ ] [ = L K 5.6 Solvng ] [ γ = 5.7 effeve oreon e = Coaron heory alulaon wh e value
6 ran μ eng value a No. ran n heory Td ran μ eng value a No.5-5 ran n heory Td Te value a No. and heory Te value a No.5 and heory ran μ -5 - eng value a No.2 ran n heory ran μ -5 - eng value a No.6 ran n heory Td Te value a No.2 and heory Td Te value a No.6 and heory ran μ -5 - eng value a No.3 ran n heory ran μ -5 - eng value a No.7 ran n heory Td Td Te value a No.3 and heory Te value a No.7 and heory ran μ -5 - eng value a No.4 ran n heory ran μ -5 - eng value a No.8 ran n heory Td Te value a No.4 and heory Td Te value a No.8 and heory Fg.3 Curve of e value and heory alulaon The ze of eeraure re dede wheher rak or no. The re drbuon de-an le and ddle-an bg. In Fgure 4 he ax enle re of e on 7.2MPa The ax enle re of e
7 on 8.7MPa le han enle rengh of C4. I afe II-level an-rak deand. re MPa re MPa Ty Ty 292 No.7 re urve No.8 re urve Fg.4 Te on re urve 6. CONCLUSION Seaon eeraure rled by year ha eeraure re u be ubeon alulaon. Shrnkage ngle-way hange. Boh of he alulaed reevely and hen ung. The heory analy whou eeraure jon o olve eeraure re reaonable. RFRNCS Zhu Bofang Theral Sree and Teeraure Conrol of Ma Conree [M]. Bejng: Chna ler Power Pre 998 Teng Zhng Ba oonen of onree [M]. Bejng: Qnghua Unvery Pre 987 Guo Zhenha Conree Theory [M]. Bejng: Qnghua Unvery Pre 999 Z.P. Bazan and Jenn Chuan Chern. Bayean aal redon of onree ree and hrnkage. CI Journal July ugu Zhou Lu Chen Yonghun [M]. Bejng: Chna Ralway Pre 994. Madouh lbadry n Ghal. Conrol of Theral Crakng of Conree Sruure. CI Journal July ugu
EFFICIENT METHODS FOR BRIDGE STEEL PLATE GIRDERS STRENGTHENING
EFFCENT ETHODS FOR BRDGE STEEL LATE GRDERS STRENGTHENNG A ernleeze őarójú aélhdak eerőíéének haékony ódzere Dr.eru oa,dr.gábor Köllő, Şean Guţu, Căăln oa Tehnal Unvery o Cluj Özeolaló Az aélhdak zka öreedée,
More informationWater Hammer in Pipes
Waer Haer Hydraulcs and Hydraulc Machnes Waer Haer n Pes H Pressure wave A B If waer s flowng along a long e and s suddenly brough o res by he closng of a valve, or by any slar cause, here wll be a sudden
More informationHomework 8: Rigid Body Dynamics Due Friday April 21, 2017
EN40: Dynacs and Vbraons Hoework 8: gd Body Dynacs Due Frday Aprl 1, 017 School of Engneerng Brown Unversy 1. The earh s roaon rae has been esaed o decrease so as o ncrease he lengh of a day a a rae of
More informationConservation of Momentum. The purpose of this experiment is to verify the conservation of momentum in two dimensions.
Conseraion of Moenu Purose The urose of his exerien is o erify he conseraion of oenu in wo diensions. Inroducion and Theory The oenu of a body ( ) is defined as he roduc of is ass () and elociy ( ): When
More informationCooling of a hot metal forging. , dt dt
Tranen Conducon Uneady Analy - Lumped Thermal Capacy Model Performed when; Hea ranfer whn a yem produced a unform emperaure drbuon n he yem (mall emperaure graden). The emperaure change whn he yem condered
More informationHEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD
Journal of Appled Mahemacs and Compuaonal Mechancs 3, (), 45-5 HEAT CONDUCTION PROBLEM IN A TWO-LAYERED HOLLOW CYLINDER BY USING THE GREEN S FUNCTION METHOD Sansław Kukla, Urszula Sedlecka Insue of Mahemacs,
More information(,,, ) (,,, ). In addition, there are three other consumers, -2, -1, and 0. Consumer -2 has the utility function
MACROECONOMIC THEORY T J KEHOE ECON 87 SPRING 5 PROBLEM SET # Conder an overlappng generaon economy le ha n queon 5 on problem e n whch conumer lve for perod The uly funcon of he conumer born n perod,
More informationA. Inventory model. Why are we interested in it? What do we really study in such cases.
Some general yem model.. Inenory model. Why are we nereed n? Wha do we really udy n uch cae. General raegy of machng wo dmlar procee, ay, machng a fa proce wh a low one. We need an nenory or a buffer or
More informationDEFROST CONTROL METHOD FOR AIR HEAT PUMP BASED ON AVERAGE HEATING CAPACITY
DEFROS CONROL MEHOD FOR AIR HEA PUMP BASED ON AVERAGE HEAING CAPACIY LI Chun-Ln, Maer, heral Engneerng Deparen, nghua Unery, Bejng 100084, Chna LI Jun-Mng, Aocae Profeor, heral Engneerng Deparen, nghua
More informationPHYSICS 151 Notes for Online Lecture #4
PHYSICS 5 Noe for Online Lecure #4 Acceleraion The ga pedal in a car i alo called an acceleraor becaue preing i allow you o change your elociy. Acceleraion i how fa he elociy change. So if you ar fro re
More informationIn the complete model, these slopes are ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL. (! i+1 -! i ) + [(!") i+1,q - [(!
ANALYSIS OF VARIANCE FOR THE COMPLETE TWO-WAY MODEL The frs hng o es n wo-way ANOVA: Is here neracon? "No neracon" means: The man effecs model would f. Ths n urn means: In he neracon plo (wh A on he horzonal
More informationConcrete damaged plasticity model
Conree damaged asiiy model Conree damaged asiiy model is a maerial model for he analysis of onree sruures mainly under dynami loads suh as earhquakes(only aes an be analyzed under he dynami loads like
More informationGraphene nanoplatelets induced heterogeneous bimodal structural magnesium matrix composites with enhanced mechanical properties
raphene nanoplaele nce heerogeneo bmoal rcral magnem marx compoe wh enhance mechancal propere Shln Xang a, b, Xaojn Wang a, *, anoj pa b, Kn W a, Xaoh H a, ngy Zheng a a School of aeral Scence an ngneerng,
More informationMaximum Likelihood Estimation
Mau Lkelhood aon Beln Chen Depaen of Copue Scence & Infoaon ngneeng aonal Tawan oal Unvey Refeence:. he Alpaydn, Inoducon o Machne Leanng, Chape 4, MIT Pe, 4 Saple Sac and Populaon Paaee A Scheac Depcon
More informationResponse of MDOF systems
Response of MDOF syses Degree of freedo DOF: he nu nuber of ndependen coordnaes requred o deerne copleely he posons of all pars of a syse a any nsan of e. wo DOF syses hree DOF syses he noral ode analyss
More informationVTU NOTES QUESTION PAPERS NEWS RESULTS FORUMS
www.bkar.m VTU NOTS QUSTION PAPRS NWS RSULTS FORUMS.8 INTRODUCTION TO COMPOUND CYLINDRS In k walle ylner ubjee nernal reure nly, an be een frm e equan f e re a e maxmum ree ur a e ne rau an an be gven
More informationTHEORETICAL AUTOCORRELATIONS. ) if often denoted by γ. Note that
THEORETICAL AUTOCORRELATIONS Cov( y, y ) E( y E( y))( y E( y)) ρ = = Var( y) E( y E( y)) =,, L ρ = and Cov( y, y ) s ofen denoed by whle Var( y ) f ofen denoed by γ. Noe ha γ = γ and ρ = ρ and because
More information1.054/1.541 Mechanics and Design of Concrete Structures (3-0-9) Outline 10 Torsion, Shear, and Flexure
.54/.54 Mehani and Deign of Conree Srre Spring 4 Prof. Oral Bkozrk Maahe Inie of ehnolog Oline.54/.54 Mehani and Deign of Conree Srre (3--9) Oline orion, Shear, and Flere orion o Sre diribion on a ro eion
More informationWarsaw University of Technology
Waraw Unvery of Technology Faculy of Auoove and Conrucon Machnery Engneerng INSTITUTE OF EHEECLES Laboraory of Cobuon Engne Theory Lab work 3 STUDY ON PISTON COMPRESSOR develoed: dr nż. Dyro Saolenko THE
More informationPhysics 3 (PHYF144) Chap 3: The Kinetic Theory of Gases - 1
Physcs (PYF44) ha : he nec heory of Gases -. Molecular Moel of an Ieal Gas he goal of he olecular oel of an eal gas s o unersan he acroscoc roeres (such as ressure an eeraure ) of gas n e of s croscoc
More information[ ] 2. [ ]3 + (Δx i + Δx i 1 ) / 2. Δx i-1 Δx i Δx i+1. TPG4160 Reservoir Simulation 2018 Lecture note 3. page 1 of 5
TPG460 Reservor Smulaon 08 page of 5 DISCRETIZATIO OF THE FOW EQUATIOS As we already have seen, fne dfference appromaons of he paral dervaves appearng n he flow equaons may be obaned from Taylor seres
More informationSolution in semi infinite diffusion couples (error function analysis)
Soluon n sem nfne dffuson couples (error funcon analyss) Le us consder now he sem nfne dffuson couple of wo blocks wh concenraon of and I means ha, n a A- bnary sysem, s bondng beween wo blocks made of
More informationV.Abramov - FURTHER ANALYSIS OF CONFIDENCE INTERVALS FOR LARGE CLIENT/SERVER COMPUTER NETWORKS
R&RATA # Vol.) 8, March FURTHER AALYSIS OF COFIDECE ITERVALS FOR LARGE CLIET/SERVER COMPUTER ETWORKS Vyacheslav Abramov School of Mahemacal Scences, Monash Unversy, Buldng 8, Level 4, Clayon Campus, Wellngon
More informationVariants of Pegasos. December 11, 2009
Inroducon Varans of Pegasos SooWoong Ryu bshboy@sanford.edu December, 009 Youngsoo Cho yc344@sanford.edu Developng a new SVM algorhm s ongong research opc. Among many exng SVM algorhms, we wll focus on
More informationEE 410/510: Electromechanical Systems Chapter 3
EE 4/5: Eleomehnl Syem hpe 3 hpe 3. Inoon o Powe Eleon Moelng n Applon of Op. Amp. Powe Amplfe Powe onvee Powe Amp n Anlog onolle Swhng onvee Boo onvee onvee Flyb n Fow onvee eonn n Swhng onvee 5// All
More informationConvection and conduction and lumped models
MIT Hea ranfer Dynamc mdel 4.3./SG nvecn and cndcn and lmped mdel. Hea cnvecn If we have a rface wh he emperare and a rrndng fld wh he emperare a where a hgher han we have a hea flw a Φ h [W] () where
More informationMethods of Improving Constitutive Equations
Mehods o mprovng Consuve Equaons Maxell Model e an mprove h ne me dervaves or ne sran measures. ³ ª º «e, d» ¼ e an also hange he bas equaon lnear modaons non-lnear modaons her Consuve Approahes Smple
More informationSEISMIC RESPONSE ANALYSIS FOR TELECOMMUNICATION TOWERS BUILT ON THE BUILDING
SEISMIC RESPONSE ANALYSIS FOR ELECOMMUNICAION OWERS BUIL ON HE BUILDING 534 K KANAZAWA And K HIRAA SUMMARY he em reone erum mehod for eondry yem develoed, o onder dynm neron wh he rmry yem. he rooed em
More informationChapter 7 AC Power and Three-Phase Circuits
Chaper 7 AC ower and Three-hae Crcu Chaper 7: Oulne eance eacance eal power eacve power ower n AC Crcu ower and Energy Gven nananeou power p, he oal energy w ranferred o a load beween and : w p d The average
More informationESCI 343 Atmospheric Dynamics II Lesson 8 Sound Waves
ESCI 343 Amoheri Dynami II Leon 8 Sond Wae Referene: An Inrodion o Dynami Meeorology (3 rd ediion), JR Holon Wae in Flid, J Lighhill SOUND WAVES We will limi or analyi o ond wae raeling only along he -ai,
More informationPhysics 240: Worksheet 16 Name
Phyic 4: Workhee 16 Nae Non-unifor circular oion Each of hee proble involve non-unifor circular oion wih a conan α. (1) Obain each of he equaion of oion for non-unifor circular oion under a conan acceleraion,
More informationJ i-1 i. J i i+1. Numerical integration of the diffusion equation (I) Finite difference method. Spatial Discretization. Internal nodes.
umercal negraon of he dffuson equaon (I) Fne dfference mehod. Spaal screaon. Inernal nodes. R L V For hermal conducon le s dscree he spaal doman no small fne spans, =,,: Balance of parcles for an nernal
More informationElectromagnetic energy, momentum and forces in a dielectric medium with losses
leroane ener, oenu and fores n a deler edu wh losses Yur A. Srhev he Sae Ao ner Cororaon ROSAO, "Researh and esn Insue of Rado-leron nneern" - branh of Federal Senf-Produon Cener "Produon Assoaon "Sar"
More informationNormal Random Variable and its discriminant functions
Noral Rando Varable and s dscrnan funcons Oulne Noral Rando Varable Properes Dscrnan funcons Why Noral Rando Varables? Analycally racable Works well when observaon coes for a corruped snle prooype 3 The
More informationCubic Bezier Homotopy Function for Solving Exponential Equations
Penerb Journal of Advanced Research n Compung and Applcaons ISSN (onlne: 46-97 Vol. 4, No.. Pages -8, 6 omoopy Funcon for Solvng Eponenal Equaons S. S. Raml *,,. Mohamad Nor,a, N. S. Saharzan,b and M.
More informationII The Z Transform. Topics to be covered. 1. Introduction. 2. The Z transform. 3. Z transforms of elementary functions
II The Z Trnsfor Tocs o e covered. Inroducon. The Z rnsfor 3. Z rnsfors of eleenry funcons 4. Proeres nd Theory of rnsfor 5. The nverse rnsfor 6. Z rnsfor for solvng dfference equons II. Inroducon The
More informationWHEEL/RAIL INTERACTION DUE TO THE POLYGONAL WHEEL
U.P.B. S. Bull., Sere D, Vol. D, I. 3, ISSN 454-358 WHEEL/RAIL INTERACTION DUE TO THE POLYGONAL WHEEL Traan MAZILU, Măălna DUMITRIU, Crna TUDORACHE 3, Mrea SEBEŞAN 4 Arolul e faţă ee onara uer neraţun
More informationESS 265 Spring Quarter 2005 Kinetic Simulations
SS 65 Spng Quae 5 Knec Sulaon Lecue une 9 5 An aple of an lecoagnec Pacle Code A an eaple of a knec ulaon we wll ue a one denonal elecoagnec ulaon code called KMPO deeloped b Yohhau Oua and Hoh Mauoo.
More informationMODELS OF PRODUCTION RUNS FOR MULTIPLE PRODUCTS IN FLEXIBLE MANUFACTURING SYSTEM
Yugoslav Journal of Oeraons Research (0), Nuer, 307-34 DOI: 0.98/YJOR0307I MODELS OF PRODUCTION RUNS FOR MULTIPLE PRODUCTS IN FLEXIBLE MANUFACTURING SYSTEM Olver ILIĆ, Mlć RADOVIĆ Faculy of Organzaonal
More informationby Lauren DeDieu Advisor: George Chen
b Laren DeDe Advsor: George Chen Are one of he mos powerfl mehods o nmercall solve me dependen paral dfferenal eqaons PDE wh some knd of snglar shock waves & blow-p problems. Fed nmber of mesh pons Moves
More informationLecture Notes 4: Consumption 1
Leure Noes 4: Consumpon Zhwe Xu (xuzhwe@sju.edu.n) hs noe dsusses households onsumpon hoe. In he nex leure, we wll dsuss rm s nvesmen deson. I s safe o say ha any propagaon mehansm of maroeonom model s
More informationHomework 2 Solutions
Mah 308 Differenial Equaions Fall 2002 & 2. See he las page. Hoework 2 Soluions 3a). Newon s secon law of oion says ha a = F, an we know a =, so we have = F. One par of he force is graviy, g. However,
More informationOn Metric Dimension of Two Constructed Families from Antiprism Graph
Mah S Le 2, No, -7 203) Mahemaal Sees Leers A Ieraoal Joural @ 203 NSP Naural Sees Publhg Cor O Mer Dmeso of Two Cosrued Famles from Aprm Graph M Al,2, G Al,2 ad M T Rahm 2 Cere for Mahemaal Imagg Tehques
More informationEP2200 Queuing theory and teletraffic systems. 3rd lecture Markov chains Birth-death process - Poisson process. Viktoria Fodor KTH EES
EP Queung heory and eleraffc sysems 3rd lecure Marov chans Brh-deah rocess - Posson rocess Vora Fodor KTH EES Oulne for oday Marov rocesses Connuous-me Marov-chans Grah and marx reresenaon Transen and
More informationScattering at an Interface: Oblique Incidence
Course Insrucor Dr. Raymond C. Rumpf Offce: A 337 Phone: (915) 747 6958 E Mal: rcrumpf@uep.edu EE 4347 Appled Elecromagnecs Topc 3g Scaerng a an Inerface: Oblque Incdence Scaerng These Oblque noes may
More informationCOMPUTER SCIENCE 349A SAMPLE EXAM QUESTIONS WITH SOLUTIONS PARTS 1, 2
COMPUTE SCIENCE 49A SAMPLE EXAM QUESTIONS WITH SOLUTIONS PATS, PAT.. a Dene he erm ll-ondoned problem. b Gve an eample o a polynomal ha has ll-ondoned zeros.. Consder evaluaon o anh, where e e anh. e e
More information( )a = "t = 1 E =" B E = 5016 V. E = BHv # 3. 2 %r. c.) direction of induced current in the loop for : i.) "t < 1
99 3 c dr b a µ r.? d b µ d d cdr a r & b d & µ c µ c b dr µ c µ c b & ' ln' a +*+* b ln r ln a a r a ' µ c b 'b* µ c ln' * & ln, &a a+ ncreang no he page o nduced curren wll creae a - feldou of he page
More informationECON 8105 FALL 2017 ANSWERS TO MIDTERM EXAMINATION
MACROECONOMIC THEORY T. J. KEHOE ECON 85 FALL 7 ANSWERS TO MIDTERM EXAMINATION. (a) Wh an Arrow-Debreu markes sruure fuures markes for goods are open n perod. Consumers rade fuures onras among hemselves.
More informationDirect Sequence Spread Spectrum II
DS-SS II 7. Dire Sequene Spread Speru II ER One igh hink ha DS-SS would have he following drawak. Sine he RF andwidh i ie ha needed for a narrowand PSK ignal a he ae daa rae R, here will e ie a uh noie
More informationComputational results on new staff scheduling benchmark instances
TECHNICAL REPORT Compuaonal resuls on new saff shedulng enhmark nsanes Tm Curos Rong Qu ASAP Researh Group Shool of Compuer Sene Unersy of Nongham NG8 1BB Nongham UK Frs pulshed onlne: 19-Sep-2014 las
More information( ) () we define the interaction representation by the unitary transformation () = ()
Hgher Order Perurbaon Theory Mchael Fowler 3/7/6 The neracon Represenaon Recall ha n he frs par of hs course sequence, we dscussed he chrödnger and Hesenberg represenaons of quanum mechancs here n he chrödnger
More information10. A.C CIRCUITS. Theoretically current grows to maximum value after infinite time. But practically it grows to maximum after 5τ. Decay of current :
. A. IUITS Synopss : GOWTH OF UNT IN IUIT : d. When swch S s closed a =; = d. A me, curren = e 3. The consan / has dmensons of me and s called he nducve me consan ( τ ) of he crcu. 4. = τ; =.63, n one
More informationThe automatic optimal control process for the operation changeover of heat exchangers
Te aua pal rl pre fr e pera agever f ea exager K. L. Lu B. eeyer 4 & M. L very f e Feeral Are Fre Haburg Geray very f Saga fr See & Telgy P. R. Ca Tg J very P. R. Ca 4 GKSS Reear Cere Geray Abra Crl prble
More informationLearning Objectives. Self Organization Map. Hamming Distance(1/5) Introduction. Hamming Distance(3/5) Hamming Distance(2/5) 15/04/2015
/4/ Learnng Objecves Self Organzaon Map Learnng whou Exaples. Inroducon. MAXNET 3. Cluserng 4. Feaure Map. Self-organzng Feaure Map 6. Concluson 38 Inroducon. Learnng whou exaples. Daa are npu o he syse
More informationPendulum Dynamics. = Ft tangential direction (2) radial direction (1)
Pendulum Dynams Consder a smple pendulum wh a massless arm of lengh L and a pon mass, m, a he end of he arm. Assumng ha he fron n he sysem s proporonal o he negave of he angenal veloy, Newon s seond law
More informationPhysics 201 Lecture 15
Phscs 0 Lecue 5 l Goals Lecue 5 v Elo consevaon of oenu n D & D v Inouce oenu an Iulse Coens on oenu Consevaon l oe geneal han consevaon of echancal eneg l oenu Consevaon occus n sses wh no ne eenal foces
More informationSolutions for Homework #9
Solutons for Hoewor #9 PROBEM. (P. 3 on page 379 n the note) Consder a sprng ounted rgd bar of total ass and length, to whch an addtonal ass s luped at the rghtost end. he syste has no dapng. Fnd the natural
More informationChapter 6: AC Circuits
Chaper 6: AC Crcus Chaper 6: Oulne Phasors and he AC Seady Sae AC Crcus A sable, lnear crcu operang n he seady sae wh snusodal excaon (.e., snusodal seady sae. Complee response forced response naural response.
More informationNumerical Study of Large-area Anti-Resonant Reflecting Optical Waveguide (ARROW) Vertical-Cavity Semiconductor Optical Amplifiers (VCSOAs)
USOD 005 uecal Sudy of Lage-aea An-Reonan Reflecng Opcal Wavegude (ARROW Vecal-Cavy Seconduco Opcal Aplfe (VCSOA anhu Chen Su Fung Yu School of Eleccal and Eleconc Engneeng Conen Inoducon Vecal Cavy Seconduco
More informationChapters 2 Kinematics. Position, Distance, Displacement
Chapers Knemacs Poson, Dsance, Dsplacemen Mechancs: Knemacs and Dynamcs. Knemacs deals wh moon, bu s no concerned wh he cause o moon. Dynamcs deals wh he relaonshp beween orce and moon. The word dsplacemen
More informationMechanics Physics 151
Mechancs Physcs 5 Lecure 9 Hamlonan Equaons of Moon (Chaper 8) Wha We Dd Las Tme Consruced Hamlonan formalsm H ( q, p, ) = q p L( q, q, ) H p = q H q = p H = L Equvalen o Lagrangan formalsm Smpler, bu
More informationApplication of Homotopy Analysis Method for Solving various types of Problems of Partial Differential Equations
Applicaion of Hooopy Analysis Mehod for olving various ypes of Probles of Parial Differenial Equaions V.P.Gohil, Dr. G. A. anabha,assisan Professor, Deparen of Maheaics, Governen Engineering College, Bhavnagar,
More informationTHERMODYNAMICS 1. The First Law and Other Basic Concepts (part 2)
Company LOGO THERMODYNAMICS The Frs Law and Oher Basc Conceps (par ) Deparmen of Chemcal Engneerng, Semarang Sae Unversy Dhon Harano S.T., M.T., M.Sc. Have you ever cooked? Equlbrum Equlbrum (con.) Equlbrum
More informationChapter Lagrangian Interpolation
Chaper 5.4 agrangan Inerpolaon Afer readng hs chaper you should be able o:. dere agrangan mehod of nerpolaon. sole problems usng agrangan mehod of nerpolaon and. use agrangan nerpolans o fnd deraes and
More informationMechanics Physics 151
Mechancs Physcs 5 Lecure 9 Hamlonan Equaons of Moon (Chaper 8) Wha We Dd Las Tme Consruced Hamlonan formalsm Hqp (,,) = qp Lqq (,,) H p = q H q = p H L = Equvalen o Lagrangan formalsm Smpler, bu wce as
More informationx y θ = 31.8 = 48.0 N. a 3.00 m/s
4.5.IDENTIY: Vecor addiion. SET UP: Use a coordinae sse where he dog A. The forces are skeched in igure 4.5. EXECUTE: + -ais is in he direcion of, A he force applied b =+ 70 N, = 0 A B B A = cos60.0 =
More informationExample: MOSFET Amplifier Distortion
4/25/2011 Example MSFET Amplfer Dsoron 1/9 Example: MSFET Amplfer Dsoron Recall hs crcu from a prevous handou: ( ) = I ( ) D D d 15.0 V RD = 5K v ( ) = V v ( ) D o v( ) - K = 2 0.25 ma/v V = 2.0 V 40V.
More informationR th is the Thevenin equivalent at the capacitor terminals.
Chaper 7, Slun. Applyng KV Fg. 7.. d 0 C - Takng he derae f each erm, d 0 C d d d r C Inegrang, () ln I 0 - () I 0 e - C C () () r - I 0 e - () V 0 e C C Chaper 7, Slun. h C where h s he Theenn equalen
More informationMotion in Two Dimensions
Phys 1 Chaper 4 Moon n Two Dmensons adzyubenko@csub.edu hp://www.csub.edu/~adzyubenko 005, 014 A. Dzyubenko 004 Brooks/Cole 1 Dsplacemen as a Vecor The poson of an objec s descrbed by s poson ecor, r The
More informationPhysics 15 Second Hour Exam
hc 5 Second Hou e nwe e Mulle hoce / ole / ole /6 ole / ------------------------------- ol / I ee eone ole lee how ll wo n ode o ecee l ced. I ou oluon e llegle no ced wll e gen.. onde he collon o wo 7.
More informationOn Robotic Impact Docking for On Orbit Servicing*
4h Mederranean Conerene on Conrol and Auoaon (MED) June -4 06 Ahen Greee On Robo pa Dokng or On Orb Servng* Zo Mro Suden Meber EEE o S. Parakeva Meber EEE and Evangelo G. Papadopoulo Senor Meber EEE Abra
More informationNewtonian Relativity
Newonian Relaii A referene frame in whih Newon s laws are alid is alled an inerial frame Newonian priniple of relaii or Galilean inariane If Newon s laws are alid in one referene frame, hen he are also
More informationToday s topic: IMPULSE AND MOMENTUM CONSERVATION
Today s opc: MPULSE ND MOMENTUM CONSERVTON Reew of Las Week s Lecure Elasc Poenal Energy: x: dsplaceen fro equlbru x = : equlbru poson Work-Energy Theore: W o W W W g noncons W non el W noncons K K K (
More informationAnalysis of Members with Axial Loads and Moments. (Length effects Disregarded, Short Column )
Analyi o emer wih Axial Loa an omen (Lengh ee Diregare, Shor Column ) A. Reaing Aignmen Chaper 9 o ex Chaper 10 o ACI B. reenaion o he INTERACTION DIAGRA or FAILURE ENVELO We have een ha a given eion an
More informationDerivation of the Missing Equations of Special Relativity from de-broglie s Matter Wave Concept and the Correspondence between Them
Asian Journa of Aied Siene and Engineering, Voue, No /3 ISSN 35-95X(); 37-9584(e) Deriaion of he Missing Equaions of Seia Reaiiy fro de-brogie s Maer Wae Cone and he Corresondene beween The M.O.G. Taukder,
More informationBlock 5 Transport of solutes in rivers
Nmeral Hydrals Blok 5 Transpor of soles n rvers Marks Holzner Conens of he orse Blok 1 The eqaons Blok Compaon of pressre srges Blok 3 Open hannel flow flow n rvers Blok 4 Nmeral solon of open hannel flow
More informationNew Mexico Tech Hyd 510
New Meo eh Hy 5 Hyrology Program Quanave Mehos n Hyrology Noe ha for he sep hange problem,.5, for >. he sep smears over me an, unlke he ffuson problem, he onenraon a he orgn hanges. I s no a bounary onon.
More informationSlip Modeling in Timber-Framed Walls with Wood-Based or Fibre-Plaster Sheathing Boards
M. Premrov, P. Dorla, B.S. Beden, I. Špaapan Slp Modelng n Tmer-ramed Wall wh Wood-Baed or re-plaer Sheahng Board M. PREMROV, P. DOBRILA, B.S. BEDENIK, I. ŠPACAPAN aul of Cvl Engneerng Unver of Maror Smeanova
More informationA Demand System for Input Factors when there are Technological Changes in Production
A Demand Syem for Inpu Facor when here are Technologcal Change n Producon Movaon Due o (e.g.) echnologcal change here mgh no be a aonary relaonhp for he co hare of each npu facor. When emang demand yem
More information1 Widrow-Hoff Algorithm
COS 511: heoreical Machine Learning Lecurer: Rob Schapire Lecure # 18 Scribe: Shaoqing Yang April 10, 014 1 Widrow-Hoff Algorih Firs le s review he Widrow-Hoff algorih ha was covered fro las lecure: Algorih
More informationLecture 23 Damped Motion
Differenial Equaions (MTH40) Lecure Daped Moion In he previous lecure, we discussed he free haronic oion ha assues no rearding forces acing on he oving ass. However No rearding forces acing on he oving
More informationElectromagnetic waves in vacuum.
leromagne waves n vauum. The dsovery of dsplaemen urrens enals a peular lass of soluons of Maxwell equaons: ravellng waves of eler and magne felds n vauum. In he absene of urrens and harges, he equaons
More informationcalculating electromagnetic
Theoeal mehods fo alulang eleomagne felds fom lghnng dshage ajeev Thoapplll oyal Insue of Tehnology KTH Sweden ajeev.thoapplll@ee.kh.se Oulne Despon of he poblem Thee dffeen mehods fo feld alulaons - Dpole
More information11. Ideal Gas Mixture
. Ideal Ga xture. Geeral oderato ad xture of Ideal Gae For a geeral xture of N opoet, ea a pure ubtae [kg ] te a for ea opoet. [kol ] te uber of ole for ea opoet. e al a ( ) [kg ] N e al uber of ole (
More informationGMM parameter estimation. Xiaoye Lu CMPS290c Final Project
GMM paraeer esaon Xaoye Lu M290c Fnal rojec GMM nroducon Gaussan ure Model obnaon of several gaussan coponens Noaon: For each Gaussan dsrbuon:, s he ean and covarance ar. A GMM h ures(coponens): p ( 2π
More informationA New Generalized Gronwall-Bellman Type Inequality
22 Inernaonal Conference on Image, Vson and Comung (ICIVC 22) IPCSIT vol. 5 (22) (22) IACSIT Press, Sngaore DOI:.7763/IPCSIT.22.V5.46 A New Generalzed Gronwall-Bellman Tye Ineualy Qnghua Feng School of
More informationGraduate Macroeconomics 2 Problem set 5. - Solutions
Graduae Macroeconomcs 2 Problem se. - Soluons Queson 1 To answer hs queson we need he frms frs order condons and he equaon ha deermnes he number of frms n equlbrum. The frms frs order condons are: F K
More informationReliability Analysis. Basic Reliability Measures
elably /6/ elably Aaly Perae faul Œ elably decay Teporary faul Œ Ofe Seady ae characerzao Deg faul Œ elably growh durg eg & debuggg A pace hule Challeger Lauch, 986 Ocober 6, Bac elably Meaure elably:
More informationPen Tip Position Estimation Using Least Square Sphere Fitting for Customized Attachments of Haptic Device
for Cuomed Ahmen of Hp Deve Mno KOEDA nd Mhko KAO Deprmen of Compuer Sene Ful of Informon Sene nd Ar Ok Elero-Communon Unver Kok 30-70, Shjonwe, Ok, 575-0063, JAPA {koed, 0809@oeu.jp} Ar In h pper, mehod
More informationChapter 3: Vectors and Two-Dimensional Motion
Chape 3: Vecos and Two-Dmensonal Moon Vecos: magnude and decon Negae o a eco: eese s decon Mulplng o ddng a eco b a scala Vecos n he same decon (eaed lke numbes) Geneal Veco Addon: Tangle mehod o addon
More informationA L A BA M A L A W R E V IE W
A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N
More informationResearch Article. ISSN (Print) *Corresponding author Gouthamkumar Nadakuditi
Sholars Journal of Engneerng and Tehnology (SJET) Sh. J. Eng. Teh., 015; 3(3A):44-51 Sholars Aade and Senf Publsher (An Inernaonal Publsher for Aade and Senf Resoures) www.saspublsher.o ISSN 31-435X (Onlne)
More informationLecture 2 M/G/1 queues. M/G/1-queue
Lecure M/G/ queues M/G/-queue Posson arrval process Arbrary servce me dsrbuon Sngle server To deermne he sae of he sysem a me, we mus now The number of cusomers n he sysems N() Tme ha he cusomer currenly
More information8.1. a) For step response, M input is u ( t) Taking inverse Laplace transform. as α 0. Ideal response, K c. = Kc Mτ D + For ramp response, 8-1
8. a For ep repone, inpu i u, U Y a U α α Y a α α Taking invere Laplae ranform a α e e / α / α A α 0 a δ 0 e / α a δ deal repone, α d Y i Gi U i δ Hene a α 0 a i For ramp repone, inpu i u, U Soluion anual
More informationSuggested Problem Solutions Associated with Homework #5
Suggesed Problem Soluions Associaed wih Homework #5 431 (a) 8 Si has proons and neurons (b) 85 3 Rb has 3 proons and 48 neurons (c) 5 Tl 81 has 81 proons and neurons 43 IDENTIFY and SET UP: The ex calculaes
More informationFluctuation-Electromagnetic Interaction of Rotating Neutral Particle with the Surface: Relativistic Theory
Fluuaon-lroagn Inraon of Roang Nural Parl w Surfa: Rlavs or A.A. Kasov an G.V. Dov as on fluuaon-lroagn or w av alula rar for of araon fronal on an ang ra of a nural parl roang nar a polarabl surfa. parl
More informationF-Tests and Analysis of Variance (ANOVA) in the Simple Linear Regression Model. 1. Introduction
ECOOMICS 35* -- OTE 9 ECO 35* -- OTE 9 F-Tess and Analyss of Varance (AOVA n he Smple Lnear Regresson Model Inroducon The smple lnear regresson model s gven by he followng populaon regresson equaon, or
More informationMECHANICAL MODELING OF CHEMO-MECHANICAL COUPLING BEHAVIOR OF LEACHED CONCRETE
RILEM Inernaional Syoiu on Conree Moelling, 1-14 Oober 14, Beijing, China MECHANICAL MODELING OF CHEMO-MECHANICAL COUPLING BEHAVIOR OF LEACHED CONCRETE Bei Huang(1,3), Chunxiang Qian(), Shao Jianfu(3)
More informationStat13 Homework 7. Suggested Solutions
Sa3 Homework 7 hp://www.a.ucla.edu/~dinov/coure_uden.hml Suggeed Soluion Queion 7.50 Le denoe infeced and denoe noninfeced. H 0 : Malaria doe no affec red cell coun (µ µ ) H A : Malaria reduce red cell
More information5.2 Design for Shear (Part I)
5. Design or Shear (Par I) This seion overs he ollowing opis. General Commens Limi Sae o Collapse or Shear 5..1 General Commens Calulaion o Shear Demand The objeive o design is o provide ulimae resisane
More information